Alma Mater, Or, Seven Years at the University of Cambridge, المجلد 1Black, Young, and Young, 1827 |
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Æschylus amongst amused ancient angle body called Cambridge centre chapel circle Clare Hall commenced Court cram cycloid Dean described distance equal Euclid Euripides Examination Explain fellow Fellow-commoners force Freshmen gentleman give given gown Gownsmen Greek Hall Hecuba Herodotus honour Iliad instances Johnian latter learning Lecture-room Lectures Library Livy London Lord Mathematics ment morning never Newby Newton paper parabola poor Professor prove radius reason right ascension rooms round Senate-house Senior Sophs Senior Wrangler shew sides snob Sophocles sort spherical spherical reflector Susarion term Thespis thing Thucydides tion triangle TRINITY COLLEGE true anomaly Tutor University velocity viva voce whilst whole word ἂν γὰρ δὲ ἐκ ἐν ἐπὶ καὶ μὲν οἱ οὐ οὐκ τὰ τε τῇ τὴν τῆς τὸ τὸν τοῦ τῷ τῶν ὡς
مقاطع مشهورة
الصفحة 125 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
الصفحة 265 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
الصفحة 303 - How quick they wheel'd, and flying behind them shot Sharp sleet of arrowy showers against the face Of their pursuers, and overcame by flight...
الصفحة 263 - The sum of the angles of a spherical triangle is greater than two and less than six right angles. Hyp. ABC is a spherical triangle. To prove ZA + ZB + ZG> 180°, and ZA + ZB + ZC<5±0°. Proof. Construct the polar triangle A'B'C', and denote the number of degrees in B'C', C'A', and A'B', respectively, by a, b, and c.
الصفحة 147 - FC; then, because each of the angles BAC, BAG is a right angle (Def. 30.), the two straight lines AC, AG upon the opposite sides of AB, make with it at the point A the adjacent angles equal to two right angles; therefore CA is in the same straight line (i.
الصفحة 261 - From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same body falling by the same given force would descend through in the same given time.
الصفحة 147 - ... described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC : the square described upon the side BC shall be equal to the squares described upon BA, AC.
الصفحة 311 - Having given the radius of an arc of any colour in the secondary rainbow, find the ratio of the sine of incidence to the sine of refraction when rays of that colour pass out of air into water.
الصفحة 315 - What must be the magnitude and point of application of a single force that will support a sluice-gate in the shape of an inverted parabola ? 4. Find the specific gravity of a body which is lighter than the fluid in which it is weighed. 5. If the specific gravity of air...
الصفحة 315 - ... equal to the depth of its centre of gravity below the surface of the fluid.